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Integration of Trigonometric Functions

Find the inte...

Question

Find the integral: $\int (2 x - 3 cos x + e^{x}) d x$

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Solution

$\int (2 x - 3 cos x + e^{x}) d x$
$= 2 \int x d x - 3 \int cos x d x + \int e^{x} d x$
$= 2 (\frac{x^{1 + 1}}{1 + 1}) - 3 sin x + e^{x} + C$
$= \frac{2 x^{2}}{2} - 3 sin x + e^{x} + C$
$= x^{2} - 3 sin x + e^{x} + C$
Where $C$ is constant of integration

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Integration of Trigonometric Functions

Standard XII Mathematics

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